Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true? Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent. Both plans cost the same when 22 texts are sent. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent. Both plans cost the same when 50 texts are sent.
Answers
Graph is missing but we can still answer this problem.
Given that "Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. "
So cost equation for Hiroto can be written as
H(x)=20+0.05x where x is number of texts
Given that "Emilia’s plan costs $10 per month and $0.25 per text"
So cost equation for Emilia can be written as:
E(x)=10+0.25x where x is number of texts
Now we will test for each statement:
Statement 1:
" Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent"
more than 50 texts means say x=51 then we get
H(x)=20+0.05x=20+0.05*51=22.55
E(x)=10+0.25x=10+0.25*51=22.75
Hiroto's plan (H) costs less so statement is FALSE.
Statement 2:
"Both plans cost the same when 22 texts are sent. "
we plug x=22 then we get
H(x)=20+0.05x=20+0.05*22=21.1
E(x)=10+0.25x=10+0.25*22=15.5
both costs are not same so statement is FALSE.
Statement 3:
"Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent."
more than 22 texts means say x=23 then we get
H(x)=20+0.05x=20+0.05*23=21.15
E(x)=10+0.25x=10+0.25*23=15.75
Emilia's plan costs less so statement is FALSE.
Statement 4:
" Both plans cost the same when 50 texts are sent. "
plug x=50 then we get
H(x)=20+0.05x=20+0.05*50=22.5
E(x)=10+0.25x=10+0.25*50=22.5
Both costs are same so statement is TRUE.
Answer:
Both plans cost the same when 50 texts are sent.
Step-by-step explanation:
Because it is. I did the test and it was right!